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5349508096 = 2109753857
BaseRepresentation
bin1001111101101101…
…10000010000000000
3111210211001011112111
410332312300100000
541423433224341
62242454305104
7246365032342
oct47666602000
914724034474
105349508096
1122a5726679
121053658194
136733a1c0a
1438a681292
15214994681
hex13edb0400

5349508096 has 44 divisors (see below), whose sum is σ = 10804237948. Its totient is φ = 2647130112.

The previous prime is 5349508093. The next prime is 5349508103. The reversal of 5349508096 is 6908059435.

It can be written as a sum of positive squares in 2 ways, for example, as 1852441600 + 3497066496 = 43040^2 + 59136^2 .

It is not an unprimeable number, because it can be changed into a prime (5349508093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72400 + ... + 126256.

Almost surely, 25349508096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402118974).

5349508096 is an abundant number, since it is smaller than the sum of its proper divisors (5454729852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5349508096 is an equidigital number, since it uses as much as digits as its factorization.

5349508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53974 (or 53956 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The square root of 5349508096 is about 73140.3315278240. The cubic root of 5349508096 is about 1748.9253915242.

The spelling of 5349508096 in words is "five billion, three hundred forty-nine million, five hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 3104 6208 12416 24832 49664 53857 99328 107714 215428 430856 861712 1723424 3446848 5224129 6893696 10448258 13787392 20896516 27574784 41793032 55149568 83586064 167172128 334344256 668688512 1337377024 2674754048 5349508096